479604709584 has 1920 divisors, whose sum is σ = 2051868672000. Its totient is φ = 105031987200.

The previous prime is 479604709559. The next prime is 479604709607. The reversal of 479604709584 is 485907406974.

479604709584 is a `hidden beast` number, since 4 + 7 + 9 + 6 + 0 + 47 + 0 + 9 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1782917002 + ... + 1782917270.

It is an arithmetic number, because the mean of its divisors is an integer number (1068681600).

Almost surely, 2^479604709584 is an apocalyptic number.

479604709584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479604709584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025934336000).

479604709584 is an abundant number, since it is smaller than the sum of its proper divisors (1572263962416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

479604709584 is a wasteful number, since it uses less digits than its factorization.

479604709584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 479604709584 in words is "four hundred seventy-nine billion, six hundred four million, seven hundred nine thousand, five hundred eighty-four".